Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm2. What is the area of the larger region? Explain your reasoning.

Answer:

22.5 degrees

Step-by-step explanation:

Complementary angles add up to be 90 degrees. You can model the simple equation \(x+3x=90\) where is x is the small angle and 3x is the large angle.

\(4x=90\\x=22.5\)

the smaller angle is 22.5 degrees

The triangles KMP and AYC, are congruent angles, because we are told that:

Thus, to find our answers we compare both triangles.

a) KM is approximately equal to AC.

That is because, as we can see in the following image, they are corresponding sides:

b) CY is approximately equal to MP.

That is because they are corresponding sides, they are the short side of each triangle. And since the triangles are equal, CY and MP are also equal:

c) for the same reasons as the previous two, PK anf AY, are corresponding sides:

d) and e)

The corresponding angles of Y and K are represented in the following image:

rrespon

Answer:

912.36 + 2.89 = 915.25

The value of the number is x = 34.

Let's break down the problem and solve it step by step.

1. "Five less than twice the value of a number": This can be represented as 2x - 5, where x is the number.

2. "Three times the quantity of 4 more than 1/2 the number": This can be represented as 3 * (x/2 + 4).

According to the problem statement, the two expressions are equal. We can set up the equation as follows:

2x - 5 = 3 * (x/2 + 4)

Now, let's solve the equation:

2x - 5 = 3 * (x/2 + 4)

Distribute the 3 to both terms inside the parentheses:

2x - 5 = (3/2)x + 12

Multiply through by 2 to eliminate the fraction:

2(2x - 5) = 2((3/2)x + 12)

4x - 10 = 3x + 24

Next, let's isolate the x term by moving the constant terms to the other side of the equation:

4x - 3x = 24 + 10

Simplify:

x = 34

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The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

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Answer:

\((-\infty,2)\)

Step-by-step explanation:

Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).

Answer:

The answer is 14

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

Complete the multiplication and the equation becomes

The two fractions now have like denominators so you can add the numerators.

there....

The solution of the expression ''2 divided by 1/7'' is 14.

Used the concept of the divide that states,

The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.

Given that,

2 divided by 1/7

Now it can be written as,

2 divided by 1/7

\(2 \div \dfrac{1}{7}\)

\(2 \times 7\)

\(14\)

Therefore, the solution of the expression is 14.

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The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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The values of each variable are ∠d=71°, ∠c=87°, arc a=121°, arc b=53°.

A circle is a shape formed by all points on a plane that are at a fixed distance from the center. It is the curve sketched out by a point moving in a plane such that its distance from a particular point remains constant. The radius is the distance between any point on a circle and the center. The radius must usually be a positive integer. Degenerate case is a circle with r=0. Except when otherwise specified, this article is about circles in Euclidean geometry, and specifically the Euclidean plane.

1) Measure of ∠d

∠d+109°=180°

∠d=71°

2) Measure of ∠c,

∠c+93°=180°

∠c=87°

3) Measure of arc a is,

109°=1/2[97°+arc a]

218°=97°+arc a

arc a=121°

4) Measure of arc b,

87°=1/2[121°+arc b]

174°=121°+arc b

arc b=53°

Therefore, the values of each variable are ∠d=71°, ∠c=87°, arc a=121°, arc b=53°.

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9514 1404 393

Answer:

  x = 50°

Step-by-step explanation:

The angle marked 73° is the average of the arcs marked 96° and x.

  (x +96°)/2 = 73°

  x = 2(73°) -96° . . . . solve for x

  x = 50°

__

Additional comment

Then z = 360° -50° -114° -96° = 100°.

Answer: -6x + 15 < 10-5x and the numberline with the 5---->

Step-by-step explanation:

Solving -3(2x-5) < 5(2-x)

Distribute the -3 to the 2x giving you -6x and -3 to the -5 giving you 15.

Distribute 5 to 2 giving you 10 and 5 to -x ginving you -5x.

Then just solve -6x+15 < 10-5x

                          +6x             +6x

10+x > 15

-10     -10

x>5

The numberline with the postive 5 is the correct answer.

Answer: c d

Step-by-step explanation:

Note: ^ is for Start of the line, $ is for end of the line ,* means 0 or more, + means 1 or more, [ab] means either a or b and {} is for specific number of times, () is for grouping.

A task in which it is necessary to create regular expressions to define five different languages. The alphabet used is A = {a, b}. The languages ​​are:

L1, which has exactly one "a" but any number of "bs".

L2, which has an odd number of "as" and an even number of "bs".

L3, which contains exactly two "as" or exactly two "bs", although not necessarily adjacent.

L4, which has all "bs" appearing before any "a" or all "as" appearing before any "b".

L5, where there can be any number of "as", but the number of "bs" must be even, although the "bs" need not be adjacent.

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The radius of the sector is 3cm and the central angle is approximately 70.53 degrees.

Now, we are given the length of the arc of the sector, which we can call "l", and the area of the sector, which we can call "A".

To find the radius, we can use the formula:

r = (l/2π) x circumference

where π (pi) is a mathematical constant approximately equal to 3.14. The circumference is the distance around the circle, which we can find using the formula:

circumference = 2πr

Combining these two formulas, we can solve for the radius:

r = (l/2π) x 2πr

r = l/2

So, the radius of the sector is half of the length of the arc. In this case, the length of the arc is given as 6cm, so the radius is:

r = 6/2

r = 3cm

Now, let's find the central angle. We can use the formula:

central angle = (area/circle area) x 360 degrees

The circle area is given by the formula:

circle area = πr²

Substituting the value of radius we obtained earlier, we can calculate the circle area as:

circle area = π(3)²

circle area = 9π

The area of the sector is given as 15cm². So, we can substitute the values of area and circle area in the formula for central angle to get:

central angle = (15/9π) x 360

central angle ≈ 70.53 degrees

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The polynomial of degree 3 is given by x³-3x²-40x+84.

The degree of a polynomial is the highest degree of the variables present with non-zero coefficients.

For example the polynomial \({\displaystyle 2x^{2}y^{3}+8x+10}\) has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.

A degree 3 polynomial having zeros α,β and γ and the coefficient of x³ equal a is

a(x-α)(x-β)(x-γ)

So the given zeroes of the polynomial are -6,8 and 7 and the coefficient of x³ is 1. So the desired polynomial is given by:

1(x+6)(x-2)(x-7)

=(x²-4x-12)(x-7)

=x³-3x²-40x+84

Hence the polynomial of degree 3 is given by x³-3x²-40x+84.

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Answer:

The dependent variable is c

Step-by-step explanation:

The cost of lunch changes with each day, so the cost depends on the number of days

Answer:

i agree c is the total cost

Step-by-step explanation:

Answer:

  D.  5 +9i

Step-by-step explanation:

You want to simplify the expression ...

  √(-16) +√(-25) +5

We know that the value of √(-1) is represented by the constant i. This means we can simplify the expression like this:

  \(\sqrt{-16}+\sqrt{-25}+5\\\\=\sqrt{-1(4^2)}+\sqrt{-1(5^2)}+5\\\\=4i+5i+5\\\\=\boxed{5+9i}\qquad\text{matches choice D}\)

<95141404393>

Answer:

29.4°

Step-by-step explanation:

The equation can be rearranged to give C directly.

 C = arccos((a^2 +b^2 -c^2)/(2ab))

 C = arccos((90^2 +55^2 -50^2)/(2·90·55))

 C = arccos(8625/9900) ≈ 29.4002°

 C ≈ 29.4°

The measure of angle C is approximately 29.46 degrees.

To find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:

cos(C) = (a² + b² - c²) / (2 * a * b)

Substitute the given values:

cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)

Now, calculate the numerator:

cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)

cos(C) = 8625 / 9900

Now, divide to get the final value of cos(C):

cos(C) ≈ 0.8707

To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:

C ≈ arccos(0.8707)

Using a calculator, you'll find:

C ≈ 29.46 degrees (rounded to two decimal places)

So, the measure of angle C is approximately 29.46 degrees.

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Answer:

4 is the answer

Step-by-step explanation:

10+(-6)+(-6)+2+(-4)

10+(-6)= 10-6=    4

(-6)+2=6-2=       -4

--------------------------------------------

                         8

                        -4

-----------------------------------------

              4 is the answer

The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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Answer:  - 17/20

or in decimal form -0.85

hope this helps

Step-by-step explanation:

We have to express teh perimeter of the rectangle.

The sides are expressed in terms of x.

The perimeter of a rectangle can be calculated as sum of the sides, so we can write:

If sides a and b are in terms of x, we can write:

Answer: the perimeter in terms of x is P=16x-4.

Answer: $716.76

Step-by-step explanation:

79.64 / 4 = 19.91

12 x 3 = 36

36 x 19.91 = 716.76

Answer:

5/w-v

Step-by-step explanatio

Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

Answer:

y = 5^(x+1)

Step-by-step explanation:

y = 5^(x+1)

x = 1 for the initial step

Answer:

2π(x+y+z)

is the factorization

The calculated value of the exact value of v is <-4, 6>

To find the exact value of v, we need to determine the components of the vector v.

The horizontal component of v, denoted as v_x, is equal to the change in x-coordinates between the initial and terminal points, which is -4 - 0 = -4.

The vertical component of v, denoted as v_y, is equal to the change in y-coordinates between the initial and terminal points, which is 6 - 0 = 6.

Therefore, the exact value of v is:

v = <v_x, v_y> = <-4, 6>

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By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here